An object of mass m 1 = 5.00 kg is connected by a light cord to an object of mas

Question

An object of mass m1 = 5.00 kg is connected by a light cord to an object of mass m2 = 3.00 kg on a frictionless surface (see figure). The pulley rotates about a frictionless axle and has a moment of inertia of 0.490 kg

An object of mass m1 = 5.00 kg is connected by a light cord to an object of mass m2 = 3.00 kg on a frictionless surface (see figure). The pulley rotates about a frictionless axle and has a moment of inertia of 0.490 kg m2 and a radius of 0.270 m. Assume that the cord does not slip on the pulley. Find the acceleration of the two masses. Find the tensions T1 and T2.

Explanation / Answer

a) 5g - T1 =5a

(T1 - T2)r = 0.490 x (a/r)

T1 -T2 = 6.72a

T2 = 3a

add them

5g   = (5 + 6.72+3)a

a =3.33 m/s2

b) T1 = 5 x (g - 3.33) = 32.36 N

T2 =
3 x 3.3 = 9.99 N or 10 N

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.